Right-Permutative Cellular Automata on Topological Markov Chains
Dynamical Systems
2017-02-15 v4 Probability
Abstract
In this paper we consider cellular automata with algebraic local rules and such that is a topological Markov chain which has a structure compatible to this local rule. We characterize such cellular automata and study the convergence of the Ces\`aro mean distribution of the iterates of any probability measure with complete connections and summable decay.
Cite
@article{arxiv.math/0603326,
title = {Right-Permutative Cellular Automata on Topological Markov Chains},
author = {Marcelo Sobottka},
journal= {arXiv preprint arXiv:math/0603326},
year = {2017}
}
Comments
16 pages, 2 figure. A new version with improved redaction of Theorem 6.3(i)) to clearify its consequences